Moment Analysis Theory for Size Exclusion Capillary Electrochromatography with Chemical Reaction of Intermolecular Interaction

Abstract

New moment equations were developed for size exclusion capillary electrochromatography (SECEC), in which intermolecular chemical reactions simultaneously took place. They explain how the first absolute and second central moments of elution peaks are correlated with some fundamental equilibrium and kinetic parameters of mass transfer and chemical reaction in SECEC column. In order to demonstrate the effectiveness of the moment equations, they were used to predict chromatographic behavior under hypothetical SECEC conditions. It was quantitatively studied how the association and dissociation rate constants of intermolecular interaction affected the position and spreading of elution peaks. It was indicated that both the intermolecular reaction kinetics and axial dispersion of solute molecules in a capillary column had a predominant contribution to the band broadening.

Moment theory for the analytical determination of rate constants for solute permeation at the interface of spherical molecular aggregates

“…Moment analysis is one strategy to extract information about chemical equilibrium, mass transfer rates, and reaction kinetics from experimentally measured elution peak profiles [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. In this study, moment equations were developed to analytically determine k in and k out from the elution peak profiles measured in EKC systems ( Fig.…”

Analysis of Mass Transfer Kinetics at Lipid Bilayer Membranes of Liposome by Means of Electrokinetic Chromatography and Moment Theory

“…The contributions of mass transfer resistance of S at the external liquid film surrounding spherical liposomes and its diffusive migration in intraparticulate space in liposomes to μ 2C,L are negligibly small when the size of spherical liposomes is sufficiently small. 18,19 The following equation represents μ 2C,L in the unit of m…”

“…The value of μ 2C,L was analyzed on the assumption that it is represented as the sum of the contributions of diffusion of S and X in the axial direction of the capillary ( σ ax,L 2 ), lipid membrane permeation of solute ( σ perm,L 2 ), detection of elution peak ( σ det,L 2 ), injection of solute ( σ inj,L 2 ), and temperature change due to the generation of Joule heat ( σ Jh,L 2 ). The contributions of mass transfer resistance of S at the external liquid film surrounding spherical liposomes and its diffusive migration in intraparticulate space in liposomes to μ 2C,L are negligibly small when the size of spherical liposomes is sufficiently small. , The following equation represents μ 2C,L in the unit of m 2 . Although eq represents the contributions of σ ax,L 2 and σ perm,L 2 , it does not include those of σ det,L 2 , σ inj,L 2 , and σ Jh,L 2 .…”

Open-tubular Capillary Electrochromatography with Janus Structured Au-Fe3O4 Nanoparticles Coating as Stationary Phase

“…Capillary electrochromatography (CEC), combining the high efficiency of CE and the high selectivity of HPLC, has emerged as a powerful technique in the separation field during the past decade. 1,2 An open-tubular (OT) column, one type of columns in CEC, is a comparatively simple one because of easy preparation, the absence of bubble formation, and simple instrumental handling. 3 Moreover, it does not require the fabrication of frits and particles packing.…”